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42484108032 = 283237539403
BaseRepresentation
bin100111100100010000…
…000000101100000000
311001122210100022002200
4213210100000230000
51144001412424112
631303353513200
73032536650162
oct474420005400
9131583308080
1042484108032
1117021198193
128297a12800
134010909382
1420b0482932
151189b23cdc
hex9e4400b00

42484108032 has 216 divisors, whose sum is σ = 128190024144. Its totient is φ = 13517217792.

The previous prime is 42484107997. The next prime is 42484108057. The reversal of 42484108032 is 23080148424.

42484108032 is a `hidden beast` number, since 42 + 484 + 108 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4513443 + ... + 4522845.

It is an arithmetic number, because the mean of its divisors is an integer number (593472334).

Almost surely, 242484108032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42484108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64095012072).

42484108032 is an abundant number, since it is smaller than the sum of its proper divisors (85705916112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42484108032 is a wasteful number, since it uses less digits than its factorization.

42484108032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9515 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 42484108032 in words is "forty-two billion, four hundred eighty-four million, one hundred eight thousand, thirty-two".